Partial exact controllability for the linear thermo-viscoelastic model
The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness metho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
1998-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/17/abstr.html |
| _version_ | 1811276339224772608 |
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| author | Wei-Jiu Liu Graham H. Williams |
| author_facet | Wei-Jiu Liu Graham H. Williams |
| author_sort | Wei-Jiu Liu |
| collection | DOAJ |
| description | The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness method, the result of partial exact controllability is obtained with Dirichlet boundary controls acting on a part of the boundary of a domain. |
| first_indexed | 2024-04-12T23:54:50Z |
| format | Article |
| id | doaj.art-763462239159498bb61323e22b476c3d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T23:54:50Z |
| publishDate | 1998-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-763462239159498bb61323e22b476c3d2022-12-22T03:11:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911998-06-01199817111Partial exact controllability for the linear thermo-viscoelastic modelWei-Jiu LiuGraham H. WilliamsThe problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling parameters and relaxation functions. Then, via the Hilbert Uniqueness method, the result of partial exact controllability is obtained with Dirichlet boundary controls acting on a part of the boundary of a domain.http://ejde.math.txstate.edu/Volumes/1998/17/abstr.htmlControllabilitythermo-viscoelasticityHilbert Uniqueness method. |
| spellingShingle | Wei-Jiu Liu Graham H. Williams Partial exact controllability for the linear thermo-viscoelastic model Electronic Journal of Differential Equations Controllability thermo-viscoelasticity Hilbert Uniqueness method. |
| title | Partial exact controllability for the linear thermo-viscoelastic model |
| title_full | Partial exact controllability for the linear thermo-viscoelastic model |
| title_fullStr | Partial exact controllability for the linear thermo-viscoelastic model |
| title_full_unstemmed | Partial exact controllability for the linear thermo-viscoelastic model |
| title_short | Partial exact controllability for the linear thermo-viscoelastic model |
| title_sort | partial exact controllability for the linear thermo viscoelastic model |
| topic | Controllability thermo-viscoelasticity Hilbert Uniqueness method. |
| url | http://ejde.math.txstate.edu/Volumes/1998/17/abstr.html |
| work_keys_str_mv | AT weijiuliu partialexactcontrollabilityforthelinearthermoviscoelasticmodel AT grahamhwilliams partialexactcontrollabilityforthelinearthermoviscoelasticmodel |